A stabilized covolume method for the Stokes problem Original Research Article

We present a covolume method for the modified Stokes problem using the simplest approximation spaces, Q1–P0. This scheme turns out the stabilized covolume method for the Stokes problem. We prove that the covolume method in this paper has a unique solution and O(h) convergence order in H1 semi-norm for the velocity and in L2 norm the pressure approximants, respectively. We also present numerical results corresponding to our analysis.